Geometry of One-Dimensional Wave Propagation

Details Geometry of One-Dimensional Wave Propagation Geometry of One-Dimensional Wave Propagation

1995-05-31

arxiv.org/abs/quant-ph/9505024v1

Phys.Rev.A51:4427-4432,1995

Physics

Quantum Physics

RevTeX, 16 pages, 6 postscript figures

Scientific paper

10.1103/PhysRevA.51.4427

We investigate the geometrical features of one-dimensional wave propagation,
whose dynamics is described by the (2+1)-dimensional Lorentz group. We find
many interesting geometrical ingredients such as spinorlike behavior of wave
amplitudes, gauge transformations, Bloch-type equations, and Lorentz-group
Berry phases. We also propose an optical experiment to verify these effects.

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